Exponential Stability of Integro-Differential Volterra Equation on Time Scales
, oraz
28 cze 2023
O artykule
Data publikacji: 28 cze 2023
Zakres stron: 77 - 86
Otrzymano: 25 paź 2022
DOI: https://doi.org/10.2478/tmmp-2023-0017
Słowa kluczowe
© 2023 Urszula Ostaszewska et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
We study the Volterra integro-differential equation on time scales and provide sufficient conditions for boundness of all solutions of considered equation. Using that result, we present the conditions for exponential stability of considered equation. All the results proved on the general time scale include results for both integral and discrete Volterra equations.